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Given N = 5x − 12^ and M = 3x + 18^.

Mathematics

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Here are the solutions to your geometry problems.

1. KLMN is a parallelogram. Calculate the size of the interior angles.

In a parallelogram, consecutive angles are supplementary (add up to 180∘180^\circ).
Given ∠N=5x−12∘\angle N = 5x - 12^\circ and ∠M=3x+18∘\angle M = 3x + 18^\circ.

  1. Set up the equation for consecutive angles.

    ∠N+∠M=180∘\angle N + \angle M = 180^\circ (5x−12)+(3x+18)=180(5x - 12) + (3x + 18) = 180

  2. Solve for xx.

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